Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 75-82.

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Global   Attractors   of   Strong   Solution   for the  Generalized  Kuramoto-Sivashinsky  Equation 

  

  1. Department of Mathematics Lanzhou City University,Department of Mathematics,Lanzhou City University,Department of Mathematics,Lanzhou City University,,Lanzhou 730070,China,Lanzhou 730070,China,Lanzhou 730070,China
  • Received:2004-12-27 Online:2008-03-30 Published:2023-10-13
  • About author: WANG Su-yun(1969-), female, native of Lanzhou, Gansu, an associate professor of Lanzhou City University, Ph.D., engages in dynamical systems.
  • Supported by:
    Supported by the NNSF of China(107711597); Supported by the NNSF of Gansu(3ZS041- A25-006)

Abstract: 广Using a new method developed in [5],we prove the existence of global attractors for the Generalized Kuramoto-Sivashinsky equation in Hper3(Ω) and Hper4(Ω).

Key words: generalized Kuramoto-Sivashinsky equation, strong solution, global attractor